1408471705872 has 960 divisors, whose sum is σ = 5488273728000. Its totient is φ = 344242483200.

The previous prime is 1408471705829. The next prime is 1408471705873. The reversal of 1408471705872 is 2785071748041.

It is a happy number.

1408471705872 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 47 + 17 + 0 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1408471705873) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 304795722 + ... + 304800342.

It is an arithmetic number, because the mean of its divisors is an integer number (5716951800).

Almost surely, 2^{1408471705872} is an apocalyptic number.

1408471705872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1408471705872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744136864000).

1408471705872 is an abundant number, since it is smaller than the sum of its proper divisors (4079802022128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1408471705872 is a wasteful number, since it uses less digits than its factorization.

1408471705872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 1408471705872 in words is "one trillion, four hundred eight billion, four hundred seventy-one million, seven hundred five thousand, eight hundred seventy-two".